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arXiv 1110.0664cond-mat.soft
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近晶相孔隙和缺陷核

Smectic Pores and Defect Cores

Elisabetta A. Matsumoto, Christian D. Santangelo, Randall D. Kamien

摘要:

黎曼极小曲面是一个完备的、可嵌入的、单参数的极小曲面族,具有沿一个方向的平移对称性。它的无限数量的平面端部通过一系列的颈部连接在一起,紧密匹配双连续层状系统的形态,其中孔隙连接交替层。我们明确证明,黎曼极小曲面是由两个相反的手螺旋面的非线性和。该描述特别适合于描述包含两个螺旋位错的近晶相液晶。

英文摘要:

Riemann's minimal surfaces are a complete, embeddable, one-parameter family of minimal surfaces with translational symmetry along one direction. It's infinite number of planar ends are joined together by an array of necks, closely matching the morphology of a bicontinuous, lamellar system with pores connecting alternating layers. We demonstrate explicitly that Riemann's minimal surfaces are composed of a nonlinear sum of two oppositely-handed helicoids. This description is particularly appropriate for describing smectic liquid crystals containing two screw dislocations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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